KdV-charged black holes
Anatoly Dymarsky, Sotaro Sugishita
Abstract
A bstract We construct black hole geometries in AdS 3 with non-trivial values of KdV charges. The black holes are holographically dual to quantum KdV Generalized Gibbs Ensemble in 2d CFT. They satisfy thermodynamic identity and thus are saddle point configurations of the Euclidean gravity path integral. We discuss holographic calculation of the KdV generalized partition function and show that for a certain value of chemical potentials new geometries, not the conventional BTZ ones, are the leading saddles.
Topics & Concepts
PhysicsPartition function (quantum field theory)Saddle pointBlack hole thermodynamicsBlack hole (networking)Mathematical physicsEuclidean geometryBTZ black holeKorteweg–de Vries equationPath integral formulationAdS black holeQuantum gravityCharged black holeGravitationCanonical ensembleQuantum mechanicsTheoretical physicsSaddleWhite holeMassive gravityEuclidean quantum gravityQuantumExtremal black holeHawking radiationClassical mechanicsBlack braneHolographic principleMicro black holeBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesQuantum Chromodynamics and Particle Interactions